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Finding the Fourth Proportional to 685.98, 1,029.42 and 502.82

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Solution

The fourth proportional to 685.98, 1,029.42 and 502.82 is: 754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.98 : 1,029.42 = 502.82 : x
  2. Step 2: Convert to fraction form
    685.98/1,029.42 = 502.82/x
  3. Step 3: Cross multiply
    685.98x = 1,029.42 × 502.82
  4. Step 4: Simplify right side
    685.98x = 517,607.82
  5. Step 5: Solve for x
    x = 517,607.82/685.98
  6. Step 6: Final answer
    x = 754.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.